Question 5 A tank contains 6L (liters) of water in which is dissolved 32 g (grams) of a chemical. A solution containing 2 g/L of the chemical flows into the tank at a rate of 4 L/min, and the well-stirred mixture flows out at a rate of 2 L/min. Give the differential equation that describes the rate of change of the amount X of the chemical in the tank. A dx 8 dt dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 5
A tank contains 6L (liters) of water in which is dissolved 32 g (grams) of a chemical. A solution containing 2 g/L of the chemical
flows into the tank at a rate of 4 L/min, and the well-stirred mixture flows out at a rate of 2 L/min. Give the differential equation
that describes the rate of change of the amount X of the chemical in the tank.
dx
A
dt
6.
dx
4-
dt
© *-4-
dx
dt
3+t
dx
=8-
dt
3+t
B.
Transcribed Image Text:Question 5 A tank contains 6L (liters) of water in which is dissolved 32 g (grams) of a chemical. A solution containing 2 g/L of the chemical flows into the tank at a rate of 4 L/min, and the well-stirred mixture flows out at a rate of 2 L/min. Give the differential equation that describes the rate of change of the amount X of the chemical in the tank. dx A dt 6. dx 4- dt © *-4- dx dt 3+t dx =8- dt 3+t B.
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